一类系数中含有指数函数和幂函数的J-自伴微分算子谱的离散性

On the Discrete Spectrum of a Class of J-self-adjoint Differential Operator of Coefficient Contains Exponential Function and Power Function

运用算子直和分解法和二次型比较法研究了由2n阶复系数中含有指数函数和幂函数的微分算式所生成的J-自伴微分算子谱的离散性,得到了一类系数中含有指数函数和幂函数的J-自伴微分算子谱是离散的若干充分条件.

In this paper, we use the method of direct sum position of operators and quadratic form comparison to discuss the discrete spectrum of J-self-adjoint differential operator of co- efficient contains exponential function and power function that are generated by 2th order J-symmetric differential expression of coefficient contains exponential function and power function complex-valued coefficients by using the direct sum position of operators method and quadratic form comparison method.Some sufficient condition for the discrete spectrum of a class of J-self-adjoint differential operator of coefficient contains exponential function and power function are obtained.